Finite Group Databasebeta

← C11×#36778 #14613971

Subgroups — C11×#36778 #14613971

Order 2816.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2849C211yesmaximal, characteristic
2C11×#2848C211yesmaximal, characteristic, complemented
3C11×#2790C211yesmaximal, characteristic, complemented
4C11×#2779C211yesmaximal, characteristic, complemented
5C11×#2770C211yesmaximal, characteristic, complemented
6C11×#2765C211yesmaximal, characteristic, complemented
7C11×#2764C211yesmaximal, characteristic, complemented
8C11×#2763C211yesmaximal, characteristic, complemented
9C11×#2757C211yesmaximal, characteristic, complemented
10C11×#2746C211yesmaximal, characteristic, complemented
11C11×#2739C211yesmaximal, characteristic, complemented
12C11×#2729C211yesmaximal, characteristic, complemented
13C11×#2718C211yesmaximal, characteristic, complemented
14C11×#2717C211yesmaximal, characteristic, complemented
15C11×#2698C211yesmaximal, characteristic, complemented
16C11×#2692C211yesmaximal, characteristic, complemented
17C11×#2687C211yesmaximal, characteristic, complemented
18C11×#2674C211yesmaximal, characteristic, complemented
19C11×#2627C211yesmaximal, characteristic, complemented
20C11×#2623C211yesmaximal, characteristic, complemented
21C11×#2561C211yesmaximal, characteristic, complemented
22C11×#2534C211yesmaximal, characteristic
23C11×#2493C211yesmaximal, characteristic, complemented
24C11×#2488C211yesmaximal, characteristic, complemented
25C11×#2480C211yesmaximal, characteristic, complemented
26C11×#2472C211yesmaximal, characteristic
27C11×#2440C211yesmaximal, characteristic, complemented
28C11×#2417C211yesmaximal, characteristic, complemented
29C11×#2329C211yesmaximal, characteristic, complemented
30C11×#2318C211yesmaximal, characteristic, complemented
31C2×C11×#385C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C2×C11×C4⋊Q8C2211yescharacteristic, complemented
34C2×C11×#126C2211yescharacteristic
35C2×C11×#124C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×C22⋊Q8C2211yescharacteristic
40C2×C11×C22⋊Q8C2211yescharacteristic
41C2×C11×C22⋊Q8C2211yescharacteristic
42C2×C11×C22⋊Q8C2211yescharacteristic
43C2×C11×C22⋊Q8C2211yescharacteristic
44C2×C11×C22⋊Q8C2211yescharacteristic, complemented
45C2×C11×#120C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C22×C11×C4⋊C4C2211yescharacteristic
48C22×C11×C4⋊C4C2211yescharacteristic
49C22×C11×C22⋊C4C2211yescharacteristic
50C22×C11×C22⋊C4C2211yescharacteristic
51C11×#401C2211yescharacteristic, complemented
52C11×#400C2211yescharacteristic, complemented
53C11×#400C2211yescharacteristic, complemented
54C11×#400C2211yescharacteristic, complemented
55C11×#400C2211yescharacteristic, complemented
56C11×#400C2211yescharacteristic, complemented
57C11×#400C2211yescharacteristic, complemented
58C11×#400C2211yescharacteristic, complemented
59C11×#400C2211yescharacteristic, complemented
60C11×#400C2211yescharacteristic, complemented
61C11×#399C2211yescharacteristic, complemented
62C11×#399C2211yescharacteristic, complemented
63C11×#398C2211yescharacteristic, complemented
64C11×#398C2211yescharacteristic, complemented
65C11×#398C2211yescharacteristic, complemented
66C11×#398C2211yescharacteristic, complemented
67C11×#398C2211yescharacteristic, complemented
68C11×#398C2211yescharacteristic, complemented
69C11×#398C2211yescharacteristic, complemented
70C11×#398C2211yescharacteristic, complemented
71C11×#398C2211yescharacteristic, complemented
72C11×#398C2211yescharacteristic, complemented
73C11×#397C2211yescharacteristic
74C11×#397C2211yescharacteristic
75C11×#397C2211yescharacteristic
76C11×#397C2211yescharacteristic
77C11×#397C2211yescharacteristic
78C11×#397C2211yescharacteristic
79C11×#397C2211yescharacteristic, complemented
80C11×#397C2211yescharacteristic, complemented
81C11×#397C2211yescharacteristic, complemented
82C11×#396C2211yescharacteristic
83C11×#396C2211yescharacteristic
84C11×#396C2211yescharacteristic
85C11×#396C2211yescharacteristic, complemented
86C11×#396C2211yescharacteristic, complemented
87C11×#395C2211yescharacteristic, complemented
88C11×#395C2211yescharacteristic, complemented
89C11×#395C2211yescharacteristic, complemented
90C11×#395C2211yescharacteristic, complemented
91C11×#394C2211yescharacteristic
92C11×#394C2211yescharacteristic
93C11×#394C2211yescharacteristic
94C11×#394C2211yescharacteristic
95C11×#393C2211yescharacteristic
96C11×#393C2211yescharacteristic
97C11×#393C2211yescharacteristic
98C11×#393C2211yescharacteristic, complemented
99C11×#391C2211yescharacteristic, complemented
100C11×#391C2211yescharacteristic, complemented
101C11×#391C2211yescharacteristic, complemented
102C11×#391C2211yescharacteristic, complemented
103C11×#390C2211yescharacteristic
104C11×#389C2211yescharacteristic, complemented
105C11×#389C2211yescharacteristic, complemented
106C11×#389C2211yescharacteristic, complemented
107C11×#389C2211yescharacteristic, complemented
108C11×#389C2211yescharacteristic, complemented
109C11×#388C2211yescharacteristic
110C11×#388C2211yescharacteristic
111C11×#388C2211yescharacteristic
112C11×#388C2211yescharacteristic
113C11×#388C2211yescharacteristic
114C11×#388C2211yescharacteristic
115C11×#388C2211yescharacteristic
116C11×#388C2211yescharacteristic
117C11×#388C2211yescharacteristic
118C11×#388C2211yescharacteristic
119C11×#388C2211yescharacteristic
120C11×#388C2211yescharacteristic, complemented
121C11×#388C2211yescharacteristic, complemented
122C11×#388C2211yescharacteristic, complemented
123C11×#388C2211yescharacteristic, complemented
124C11×#387C2211yescharacteristic, complemented
125C11×#387C2211yescharacteristic, complemented
126C11×#387C2211yescharacteristic, complemented
127C11×#387C2211yescharacteristic, complemented
128C11×#387C2211yescharacteristic, complemented
129C11×#387C2211yescharacteristic, complemented
130C11×#387C2211yescharacteristic, complemented
131C11×#387C2211yescharacteristic, complemented
132C11×#387C2211yescharacteristic, complemented
133C11×#386C2211yescharacteristic
134C11×#386C2211yescharacteristic
135C11×#386C2211yescharacteristic
136C11×#386C2211yescharacteristic
137C11×#386C2211yescharacteristic
138C11×#386C2211yescharacteristic
139C11×#386C2211yescharacteristic
140C11×#386C2211yescharacteristic
141C11×#385C2211yescharacteristic
142C11×#385C2211yescharacteristic
143C11×#385C2211yescharacteristic
144C11×#385C2211yescharacteristic
145C11×#385C2211yescharacteristic
146C11×#385C2211yescharacteristic
147C11×#385C2211yescharacteristic
148C11×#385C2211yescharacteristic
149C11×#385C2211yescharacteristic
150C11×#385C2211yescharacteristic
151C11×#385C2211yescharacteristic
152C11×#385C2211yescharacteristic
153C11×#385C2211yescharacteristic
154C11×#385C2211yescharacteristic
155C11×#385C2211yescharacteristic
156C11×#385C2211yescharacteristic
157C11×#385C2211yescharacteristic
158C11×#385C2211yescharacteristic
159C11×#385C2211yescharacteristic
160C11×#385C2211yescharacteristic
161C11×#384C2211yescharacteristic, complemented
162C11×#383C2211yescharacteristic, complemented
163C11×#383C2211yescharacteristic, complemented
164C11×#382C2211yescharacteristic, complemented
165C11×#382C2211yescharacteristic, complemented
166C11×#381C2211yescharacteristic
167C11×#381C2211yescharacteristic
168C11×#381C2211yescharacteristic
169C11×#381C2211yescharacteristic
170C11×#381C2211yescharacteristic
171C11×#381C2211yescharacteristic, complemented
172C11×#380C2211yescharacteristic
173C11×#380C2211yescharacteristic
174C11×#380C2211yescharacteristic
175C11×#380C2211yescharacteristic
176C11×#380C2211yescharacteristic
177C11×#380C2211yescharacteristic, complemented
178C11×#380C2211yescharacteristic, complemented
179C11×#379C2211yescharacteristic
180C11×#379C2211yescharacteristic
181C11×#379C2211yescharacteristic
182C4×C11×C22⋊C4C2211yescharacteristic
183C4×C11×C22⋊C4C2211yescharacteristic
184C4×C11×C22⋊C4C2211yescharacteristic
185C2×C11×#95C2211yescharacteristic
186C2×C11×#95C2211yescharacteristic
187C25×C11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11—42no—
195C23×C4×C11—42no—
196C23×C4×C11—42no—
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C23×C4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C23×C4×C11C2311yescharacteristic
208C11×C4⋊Q8—42no—
209C11×#126—42no—
210C11×#124—42no—
211C11×#123—42no—
212C11×#123—42no—
213C11×#123—42no—
214C11×C22⋊Q8—24no—
215C11×C22⋊Q8—42no—
216C11×C22⋊Q8—42no—
217C11×C22⋊Q8—42no—
218C11×C22⋊Q8—42no—
219C11×C22⋊Q8—42no—
220C11×#120—42no—
221C4×D4×C11—24no—
222C2×C11×C4⋊C4—42no—
223C2×C11×C4⋊C4—42no—
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C4⋊C4C2311yescharacteristic
252C2×C11×C4⋊C4C2311yescharacteristic
253C2×C11×C4⋊C4C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256C2×C11×C4⋊C4C2311yescharacteristic
257C2×C11×C4⋊C4C2311yescharacteristic
258C2×C11×C4⋊C4C2311yescharacteristic
259C2×C11×C4⋊C4C2311yescharacteristic
260C2×C11×C4⋊C4C2311yescharacteristic
261C2×C11×C4⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4—24no—
263C2×C11×C22⋊C4—42no—
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C11×C22⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4C2311yescharacteristic
268C2×C11×C22⋊C4C2311yescharacteristic
269C2×C11×C22⋊C4C2311yescharacteristic
270C2×C11×C22⋊C4C2311yescharacteristic
271C2×C11×C22⋊C4C2311yescharacteristic
272C2×C11×C22⋊C4C2311yescharacteristic
273C2×C11×C22⋊C4C2311yescharacteristic
274C2×C11×C22⋊C4C2311yescharacteristic
275C2×C11×C22⋊C4C2311yescharacteristic
276C2×C11×C22⋊C4C2311yescharacteristic
277C2×C11×C22⋊C4C2311yescharacteristic
278C2×C11×C22⋊C4C2311yescharacteristic
279C2×C11×C22⋊C4C2311yescharacteristic
280C2×C11×C22⋊C4C2311yescharacteristic
281C2×C11×C22⋊C4C2311yescharacteristic
282C2×C11×C22⋊C4C2311yescharacteristic
283C2×C11×C22⋊C4C2311yescharacteristic
284C2×C11×C22⋊C4C2311yescharacteristic
285C2×C11×C22⋊C4C2311yescharacteristic
286C2×C11×C22⋊C4C2311yescharacteristic
287C2×C11×C22⋊C4C2311yescharacteristic
288C2×C11×C22⋊C4C2311yescharacteristic
289C2×C11×C22⋊C4C2311yescharacteristic
290C2×C11×C22⋊C4C2311yescharacteristic
291C2×C11×C22⋊C4C2311yescharacteristic
292C2×C11×C22⋊C4C2311yescharacteristic
293C2×C11×C22⋊C4C2311yescharacteristic
294C2×C11×C22⋊C4C2311yescharacteristic
295C2×C11×C22⋊C4C2311yescharacteristic
296C2×C11×C22⋊C4C2311yescharacteristic
297C2×C11×C22⋊C4C2311yescharacteristic
298C2×C11×C22⋊C4C2311yescharacteristic
299C2×C11×C22⋊C4C2311yescharacteristic
300C2×C11×C22⋊C4C2311yescharacteristic
301C2×C11×C22⋊C4C2311yescharacteristic
302C2×C11×C22⋊C4C2311yescharacteristic
303C2×C11×C22⋊C4C2311yescharacteristic
304C2×C42×C11C2311yescharacteristic
305C2×C42×C11C2311yescharacteristic
306C2×C42×C11C2311yescharacteristic
307C2×C42×C11C2311yescharacteristic
308C2×C42×C11C2311yescharacteristic
309C2×C42×C11C2311yescharacteristic
310C2×C42×C11C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363#36778C1111yesmaximal, characteristic, direct product factor, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—22no—
367C24×C11—22no—
368C24×C11—22no—
369C24×C11—41no—
370C24×C11—41no—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C2×Q8×C11—22no—
376C2×Q8×C11—22no—
377C2×Q8×C11—41no—
378C2×Q8×C11—41no—
379C2×Q8×C11—41no—
380C2×Q8×C11—41no—
381C2×Q8×C11—41no—
382C2×Q8×C11—41no—
383C2×Q8×C11—41no—
384C2×D4×C11—22no—
385C2×D4×C11—22no—
386C2×D4×C11—22no—
387C2×D4×C11—22no—
388C2×D4×C11—22no—
389C2×D4×C11—41no—
390C2×D4×C11—41no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11—416no—
426C22×C4×C11#4114yes—
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C11×C4⋊C4—22no—
455C11×C4⋊C4—22no—
456C11×C4⋊C4—22no—
457C11×C4⋊C4—22no—
458C11×C4⋊C4—22no—
459C11×C4⋊C4—22no—
460C11×C4⋊C4—22no—
461C11×C4⋊C4—22no—
462C11×C4⋊C4—41no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4—41no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4—41no—
475C11×C4⋊C4—41no—
476C11×C4⋊C4—41no—
477C11×C4⋊C4—41no—
478C11×C4⋊C4—41no—
479C11×C4⋊C4—41no—
480C11×C4⋊C4—41no—
481C11×C4⋊C4—41no—
482C11×C4⋊C4—41no—
483C11×C4⋊C4—41no—
484C11×C4⋊C4—41no—
485C11×C4⋊C4—41no—
486C11×C4⋊C4—41no—
487C11×C4⋊C4—41no—
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—41no—
514C11×C22⋊C4—41no—
515C11×C22⋊C4—41no—
516C11×C22⋊C4—41no—
517C11×C22⋊C4—41no—
518C11×C22⋊C4—41no—
519C11×C22⋊C4—41no—
520C11×C22⋊C4—41no—
521C11×C22⋊C4—41no—
522C11×C22⋊C4—41no—
523C11×C22⋊C4—41no—
524C11×C22⋊C4—41no—
525C11×C22⋊C4—41no—
526C11×C22⋊C4—41no—
527C11×C22⋊C4—41no—
528C11×C22⋊C4—41no—
529C11×C22⋊C4—41no—
530C11×C22⋊C4—41no—
531C11×C22⋊C4—41no—
532C42×C11—22no—
533C42×C11—41no—
534C42×C11—41no—
535C42×C11—41no—
536C42×C11—41no—
537C42×C11—41no—
538C42×C11—41no—
539#2849C2×C1111yescharacteristic
540#2848C2×C1111yescharacteristic, complemented
541#2790C2×C1111yescharacteristic, complemented
542#2779C2×C1111yescharacteristic, complemented
543#2770C2×C1111yescharacteristic, complemented
544#2765C2×C1111yescharacteristic, complemented
545#2764C2×C1111yescharacteristic, complemented
546#2763C2×C1111yescharacteristic, complemented
547#2757C2×C1111yescharacteristic, complemented
548#2746C2×C1111yescharacteristic, complemented
549#2739C2×C1111yescharacteristic, complemented
550#2729C2×C1111yescharacteristic, complemented
551#2718C2×C1111yescharacteristic, complemented
552#2717C2×C1111yescharacteristic, complemented
553#2698C2×C1111yescharacteristic, complemented
554#2692C2×C1111yescharacteristic, complemented
555#2687C2×C1111yescharacteristic, complemented
556#2674C2×C1111yescharacteristic, complemented
557#2627C2×C1111yescharacteristic, complemented
558#2623C2×C1111yescharacteristic, complemented
559#2561C2×C1111yescharacteristic, complemented
560#2534C2×C1111yescharacteristic
561#2493C2×C1111yescharacteristic, complemented
562#2488C2×C1111yescharacteristic, complemented
563#2480C2×C1111yescharacteristic, complemented
564#2472C2×C1111yescharacteristic
565#2440C2×C1111yescharacteristic, complemented
566#2417C2×C1111yescharacteristic, complemented
567#2329C2×C1111yescharacteristic, complemented
568#2318C2×C1111yescharacteristic, complemented
569C2×#385C2×C1111yescharacteristic, complemented
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—28no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—44no—
595C23×C11—44no—
596C23×C11—44no—
597C23×C11—44no—
598C23×C11—44no—
599C23×C11—44no—
600C23×C11C2×#4112yes—
601C23×C11H(5,𝔽2)12yes—
602C23×C11H(5,𝔽2)12yes—
603C23×C112−1+412yes—
604C23×C112−1+412yes—
605C23×C11C2511yescharacteristic
606Q8×C11—82no—
607Q8×C11—82no—
608Q8×C11—82no—
609D4×C11—44no—
610D4×C11—82no—
611D4×C11—82no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—44no—
691C2×C4×C11—44no—
692C2×C4×C11—44no—
693C2×C4×C11—44no—
694C2×C4×C11—44no—
695C2×C4×C11—44no—
696C2×C4×C11—44no—
697C2×C4×C11—44no—
698C2×C4×C11—82no—
699C2×C4×C11—82no—
700C2×C4×C11—82no—
701C2×C4×C11C2×#4112yes—
702C2×C4×C11C2×#4112yes—
703C2×C4×C11H(5,𝔽2)12yes—
704C24×C4C22×C1111yescharacteristic
705C2×C4⋊Q8C22×C1111yescharacteristic, complemented
706C2×#126C22×C1111yescharacteristic
707C2×#124C22×C1111yescharacteristic
708C2×#123C22×C1111yescharacteristic
709C2×#123C22×C1111yescharacteristic
710C2×#123C22×C1111yescharacteristic
711C2×C22⋊Q8C22×C1111yescharacteristic
712C2×C22⋊Q8C22×C1111yescharacteristic
713C2×C22⋊Q8C22×C1111yescharacteristic
714C2×C22⋊Q8C22×C1111yescharacteristic
715C2×C22⋊Q8C22×C1111yescharacteristic
716C2×C22⋊Q8C22×C1111yescharacteristic, complemented
717C2×#120C22×C1111yescharacteristic
718C2×C4×D4C22×C1111yescharacteristic
719C22×C4⋊C4C22×C1111yescharacteristic
720C22×C4⋊C4C22×C1111yescharacteristic
721C22×C22⋊C4C22×C1111yescharacteristic
722C22×C22⋊C4C22×C1111yescharacteristic
723#401C22×C1111yescharacteristic, complemented
724#400C22×C1111yescharacteristic, complemented
725#400C22×C1111yescharacteristic, complemented
726#400C22×C1111yescharacteristic, complemented
727#400C22×C1111yescharacteristic, complemented
728#400C22×C1111yescharacteristic, complemented
729#400C22×C1111yescharacteristic, complemented
730#400C22×C1111yescharacteristic, complemented
731#400C22×C1111yescharacteristic, complemented
732#400C22×C1111yescharacteristic, complemented
733#399C22×C1111yescharacteristic, complemented
734#399C22×C1111yescharacteristic, complemented
735#398C22×C1111yescharacteristic, complemented
736#398C22×C1111yescharacteristic, complemented
737#398C22×C1111yescharacteristic, complemented
738#398C22×C1111yescharacteristic, complemented
739#398C22×C1111yescharacteristic, complemented
740#398C22×C1111yescharacteristic, complemented
741#398C22×C1111yescharacteristic, complemented
742#398C22×C1111yescharacteristic, complemented
743#398C22×C1111yescharacteristic, complemented
744#398C22×C1111yescharacteristic, complemented
745#397C22×C1111yescharacteristic
746#397C22×C1111yescharacteristic
747#397C22×C1111yescharacteristic
748#397C22×C1111yescharacteristic
749#397C22×C1111yescharacteristic
750#397C22×C1111yescharacteristic
751#397C22×C1111yescharacteristic, complemented
752#397C22×C1111yescharacteristic, complemented
753#397C22×C1111yescharacteristic, complemented
754#396C22×C1111yescharacteristic
755#396C22×C1111yescharacteristic
756#396C22×C1111yescharacteristic
757#396C22×C1111yescharacteristic, complemented
758#396C22×C1111yescharacteristic, complemented
759#395C22×C1111yescharacteristic, complemented
760#395C22×C1111yescharacteristic, complemented
761#395C22×C1111yescharacteristic, complemented
762#395C22×C1111yescharacteristic, complemented
763#394C22×C1111yescharacteristic
764#394C22×C1111yescharacteristic
765#394C22×C1111yescharacteristic
766#394C22×C1111yescharacteristic
767#393C22×C1111yescharacteristic
768#393C22×C1111yescharacteristic
769#393C22×C1111yescharacteristic
770#393C22×C1111yescharacteristic, complemented
771#391C22×C1111yescharacteristic, complemented
772#391C22×C1111yescharacteristic, complemented
773#391C22×C1111yescharacteristic, complemented
774#391C22×C1111yescharacteristic, complemented
775#390C22×C1111yescharacteristic
776#389C22×C1111yescharacteristic, complemented
777#389C22×C1111yescharacteristic, complemented
778#389C22×C1111yescharacteristic, complemented
779#389C22×C1111yescharacteristic, complemented
780#389C22×C1111yescharacteristic, complemented
781#388C22×C1111yescharacteristic
782#388C22×C1111yescharacteristic
783#388C22×C1111yescharacteristic
784#388C22×C1111yescharacteristic
785#388C22×C1111yescharacteristic
786#388C22×C1111yescharacteristic
787#388C22×C1111yescharacteristic
788#388C22×C1111yescharacteristic
789#388C22×C1111yescharacteristic
790#388C22×C1111yescharacteristic
791#388C22×C1111yescharacteristic
792#388C22×C1111yescharacteristic, complemented
793#388C22×C1111yescharacteristic, complemented
794#388C22×C1111yescharacteristic, complemented
795#388C22×C1111yescharacteristic, complemented
796#387C22×C1111yescharacteristic, complemented
797#387C22×C1111yescharacteristic, complemented
798#387C22×C1111yescharacteristic, complemented
799#387C22×C1111yescharacteristic, complemented
800#387C22×C1111yescharacteristic, complemented
801#387C22×C1111yescharacteristic, complemented
802#387C22×C1111yescharacteristic, complemented
803#387C22×C1111yescharacteristic, complemented
804#387C22×C1111yescharacteristic, complemented
805#386C22×C1111yescharacteristic
806#386C22×C1111yescharacteristic
807#386C22×C1111yescharacteristic
808#386C22×C1111yescharacteristic
809#386C22×C1111yescharacteristic
810#386C22×C1111yescharacteristic
811#386C22×C1111yescharacteristic
812#386C22×C1111yescharacteristic
813#385C22×C1111yescharacteristic
814#385C22×C1111yescharacteristic
815#385C22×C1111yescharacteristic
816#385C22×C1111yescharacteristic
817#385C22×C1111yescharacteristic
818#385C22×C1111yescharacteristic
819#385C22×C1111yescharacteristic
820#385C22×C1111yescharacteristic
821#385C22×C1111yescharacteristic
822#385C22×C1111yescharacteristic
823#385C22×C1111yescharacteristic
824#385C22×C1111yescharacteristic
825#385C22×C1111yescharacteristic
826#385C22×C1111yescharacteristic
827#385C22×C1111yescharacteristic
828#385C22×C1111yescharacteristic
829#385C22×C1111yescharacteristic
830#385C22×C1111yescharacteristic
831#385C22×C1111yescharacteristic
832#385C22×C1111yescharacteristic
833#384C22×C1111yescharacteristic, complemented
834#383C22×C1111yescharacteristic, complemented
835#383C22×C1111yescharacteristic, complemented
836#382C22×C1111yescharacteristic, complemented
837#382C22×C1111yescharacteristic, complemented
838#381C22×C1111yescharacteristic
839#381C22×C1111yescharacteristic
840#381C22×C1111yescharacteristic
841#381C22×C1111yescharacteristic
842#381C22×C1111yescharacteristic
843#381C22×C1111yescharacteristic, complemented
844#380C22×C1111yescharacteristic
845#380C22×C1111yescharacteristic
846#380C22×C1111yescharacteristic
847#380C22×C1111yescharacteristic
848#380C22×C1111yescharacteristic
849#380C22×C1111yescharacteristic, complemented
850#380C22×C1111yescharacteristic, complemented
851#379C22×C1111yescharacteristic
852#379C22×C1111yescharacteristic
853#379C22×C1111yescharacteristic
854C4×C22⋊C4C22×C1111yescharacteristic
855C4×C22⋊C4C22×C1111yescharacteristic
856C4×C22⋊C4C22×C1111yescharacteristic
857C2×#95C22×C1111yescharacteristic
858C2×#95C22×C1111yescharacteristic
859C22×C11—22no—
860C22×C11—22no—
861C22×C11—22no—
862C22×C11—22no—
863C22×C11—22no—
864C22×C11—22no—
865C22×C11—22no—
866C22×C11—22no—
867C22×C11—22no—
868C22×C11—22no—
869C22×C11—22no—
870C22×C11—22no—
871C22×C11—416no—
872C22×C11—41no—
873C22×C11—41no—
874C22×C11—41no—
875C22×C11—41no—
876C22×C11—41no—
877C22×C11—41no—
878C22×C11—41no—
879C22×C11—41no—
880C22×C11—41no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11—41no—
884C22×C11—41no—
885C22×C11—41no—
886C22×C11—41no—
887C22×C11#54214yes—
888C22×C11C22×#4111yescharacteristic
889C22×C11C2×H(5,𝔽2)11yescharacteristic
890C22×C11C2×H(5,𝔽2)11yescharacteristic
891C22×C11C2×H(5,𝔽2)11yescharacteristic
892C22×C11C2×2−1+411yescharacteristic
893C22×C11C2×2−1+411yescharacteristic
894C22×C11#58511yescharacteristic
895C4×C11—22no—
896C4×C11—22no—
897C4×C11—22no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11—41no—
909C4×C11—41no—
910C4×C11—41no—
911C4×C11—41no—
912C4×C11—41no—
913C4×C11—41no—
914C4×C11—41no—
915C4×C11—41no—
916C4×C11—41no—
917C4×C11—41no—
918C4×C11—41no—
919C4×C11—41no—
920C4×C11—41no—
921C4×C11—41no—
922C25C23×C1111yescharacteristic
923C22×Q8C23×C1111yescharacteristic
924C22×Q8C23×C1111yescharacteristic
925C22×Q8C23×C1111yescharacteristic
926C22×D4C23×C1111yescharacteristic
927C22×D4C23×C1111yescharacteristic
928C22×D4C23×C1111yescharacteristic
929C23×C4—42no—
930C23×C4—42no—
931C23×C4—42no—
932C23×C4C23×C1111yescharacteristic
933C23×C4C23×C1111yescharacteristic
934C23×C4C23×C1111yescharacteristic
935C23×C4C23×C1111yescharacteristic
936C23×C4C23×C1111yescharacteristic
937C23×C4C23×C1111yescharacteristic
938C23×C4C23×C1111yescharacteristic
939C23×C4C23×C1111yescharacteristic
940C23×C4C23×C1111yescharacteristic
941C23×C4C23×C1111yescharacteristic
942C23×C4C23×C1111yescharacteristic
943C4⋊Q8—42no—
944#126—42no—
945#124—42no—
946#123—42no—
947#123—42no—
948#123—42no—
949C22⋊Q8—24no—
950C22⋊Q8—42no—
951C22⋊Q8—42no—
952C22⋊Q8—42no—
953C22⋊Q8—42no—
954C22⋊Q8—42no—
955#120—42no—
956C4×D4—24no—
957C2×C4⋊C4—42no—
958C2×C4⋊C4—42no—
959C2×C4⋊C4C23×C1111yescharacteristic
960C2×C4⋊C4C23×C1111yescharacteristic
961C2×C4⋊C4C23×C1111yescharacteristic
962C2×C4⋊C4C23×C1111yescharacteristic
963C2×C4⋊C4C23×C1111yescharacteristic
964C2×C4⋊C4C23×C1111yescharacteristic
965C2×C4⋊C4C23×C1111yescharacteristic
966C2×C4⋊C4C23×C1111yescharacteristic
967C2×C4⋊C4C23×C1111yescharacteristic
968C2×C4⋊C4C23×C1111yescharacteristic
969C2×C4⋊C4C23×C1111yescharacteristic
970C2×C4⋊C4C23×C1111yescharacteristic
971C2×C4⋊C4C23×C1111yescharacteristic
972C2×C4⋊C4C23×C1111yescharacteristic
973C2×C4⋊C4C23×C1111yescharacteristic
974C2×C4⋊C4C23×C1111yescharacteristic
975C2×C4⋊C4C23×C1111yescharacteristic
976C2×C4⋊C4C23×C1111yescharacteristic
977C2×C4⋊C4C23×C1111yescharacteristic
978C2×C4⋊C4C23×C1111yescharacteristic
979C2×C4⋊C4C23×C1111yescharacteristic
980C2×C4⋊C4C23×C1111yescharacteristic
981C2×C4⋊C4C23×C1111yescharacteristic
982C2×C4⋊C4C23×C1111yescharacteristic
983C2×C4⋊C4C23×C1111yescharacteristic
984C2×C4⋊C4C23×C1111yescharacteristic
985C2×C4⋊C4C23×C1111yescharacteristic
986C2×C4⋊C4C23×C1111yescharacteristic
987C2×C4⋊C4C23×C1111yescharacteristic
988C2×C4⋊C4C23×C1111yescharacteristic
989C2×C4⋊C4C23×C1111yescharacteristic
990C2×C4⋊C4C23×C1111yescharacteristic
991C2×C4⋊C4C23×C1111yescharacteristic
992C2×C4⋊C4C23×C1111yescharacteristic
993C2×C4⋊C4C23×C1111yescharacteristic
994C2×C4⋊C4C23×C1111yescharacteristic
995C2×C4⋊C4C23×C1111yescharacteristic
996C2×C4⋊C4C23×C1111yescharacteristic
997C2×C22⋊C4—24no—
998C2×C22⋊C4—42no—
999C2×C22⋊C4C23×C1111yescharacteristic
1000C2×C22⋊C4C23×C1111yescharacteristic
1001C2×C22⋊C4C23×C1111yescharacteristic
1002C2×C22⋊C4C23×C1111yescharacteristic
1003C2×C22⋊C4C23×C1111yescharacteristic
1004C2×C22⋊C4C23×C1111yescharacteristic
1005C2×C22⋊C4C23×C1111yescharacteristic
1006C2×C22⋊C4C23×C1111yescharacteristic
1007C2×C22⋊C4C23×C1111yescharacteristic
1008C2×C22⋊C4C23×C1111yescharacteristic
1009C2×C22⋊C4C23×C1111yescharacteristic
1010C2×C22⋊C4C23×C1111yescharacteristic
1011C2×C22⋊C4C23×C1111yescharacteristic
1012C2×C22⋊C4C23×C1111yescharacteristic
1013C2×C22⋊C4C23×C1111yescharacteristic
1014C2×C22⋊C4C23×C1111yescharacteristic
1015C2×C22⋊C4C23×C1111yescharacteristic
1016C2×C22⋊C4C23×C1111yescharacteristic
1017C2×C22⋊C4C23×C1111yescharacteristic
1018C2×C22⋊C4C23×C1111yescharacteristic
1019C2×C22⋊C4C23×C1111yescharacteristic
1020C2×C22⋊C4C23×C1111yescharacteristic
1021C2×C22⋊C4C23×C1111yescharacteristic
1022C2×C22⋊C4C23×C1111yescharacteristic
1023C2×C22⋊C4C23×C1111yescharacteristic
1024C2×C22⋊C4C23×C1111yescharacteristic
1025C2×C22⋊C4C23×C1111yescharacteristic
1026C2×C22⋊C4C23×C1111yescharacteristic
1027C2×C22⋊C4C23×C1111yescharacteristic
1028C2×C22⋊C4C23×C1111yescharacteristic
1029C2×C22⋊C4C23×C1111yescharacteristic
1030C2×C22⋊C4C23×C1111yescharacteristic
1031C2×C22⋊C4C23×C1111yescharacteristic
1032C2×C22⋊C4C23×C1111yescharacteristic
1033C2×C22⋊C4C23×C1111yescharacteristic
1034C2×C22⋊C4C23×C1111yescharacteristic
1035C2×C22⋊C4C23×C1111yescharacteristic
1036C2×C22⋊C4C23×C1111yescharacteristic
1037C2×C22⋊C4C23×C1111yescharacteristic
1038C2×C22⋊C4C23×C1111yescharacteristic
1039C2×C42C23×C1111yescharacteristic
1040C2×C42C23×C1111yescharacteristic
1041C2×C42C23×C1111yescharacteristic
1042C2×C42C23×C1111yescharacteristic
1043C2×C42C23×C1111yescharacteristic
1044C2×C42C23×C1111yescharacteristic
1045C2×C42C23×C1111yescharacteristic
1046#95C23×C1111yescharacteristic
1047#95C23×C1111yescharacteristic
1048#95C23×C1111yescharacteristic
1049#95C23×C1111yescharacteristic
1050#95C23×C1111yescharacteristic
1051#95C23×C1111yescharacteristic
1052#95C23×C1111yescharacteristic
1053#95C23×C1111yescharacteristic
1054#95C23×C1111yescharacteristic
1055#95C23×C1111yescharacteristic
1056#95C23×C1111yescharacteristic
1057#95C23×C1111yescharacteristic
1058#95C23×C1111yescharacteristic
1059#95C23×C1111yescharacteristic
1060#95C23×C1111yescharacteristic
1061#95C23×C1111yescharacteristic
1062#95C23×C1111yescharacteristic
1063#95C23×C1111yescharacteristic
1064#95C23×C1111yescharacteristic
1065#95C23×C1111yescharacteristic
1066#95C23×C1111yescharacteristic
1067#95C23×C1111yescharacteristic
1068#95C23×C1111yescharacteristic
1069#95C23×C1111yescharacteristic
1070#95C23×C1111yescharacteristic
1071#95C23×C1111yescharacteristic
1072#95C23×C1111yescharacteristic
1073#95C23×C1111yescharacteristic
1074#95C23×C1111yescharacteristic
1075#95C23×C1111yescharacteristic
1076#95C23×C1111yescharacteristic
1077#95C23×C1111yescharacteristic
1078#95C23×C1111yescharacteristic
1079#95C23×C1111yescharacteristic
1080#95C23×C1111yescharacteristic
1081#95C23×C1111yescharacteristic
1082#95C23×C1111yescharacteristic
1083#95C23×C1111yescharacteristic
1084#95C23×C1111yescharacteristic
1085#95C23×C1111yescharacteristic
1086#95C23×C1111yescharacteristic
1087#95C23×C1111yescharacteristic
1088#95C23×C1111yescharacteristic
1089#95C23×C1111yescharacteristic
1090#95C23×C1111yescharacteristic
1091#95C23×C1111yescharacteristic
1092#95C23×C1111yescharacteristic
1093#95C23×C1111yescharacteristic
1094#95C23×C1111yescharacteristic
1095#95C23×C1111yescharacteristic
1096#95C23×C1111yescharacteristic
1097#95C23×C1111yescharacteristic
1098C2×C11—24no—
1099C2×C11—42no—
1100C2×C11—42no—
1101C2×C11—81no—
1102C2×C11C2×#54211yescharacteristic
1103C2×C11#349211yescharacteristic
1104C2×C11#350511yescharacteristic
1105C2×C11#353211yescharacteristic
1106C2×C11#353511yescharacteristic
1107C2×C11#353511yescharacteristic
1108C2×C11#353811yescharacteristic
1109C24—22no—
1110C24—22no—
1111C24—22no—
1112C24—22no—
1113C24—22no—
1114C24—41no—
1115C24—41no—
1116C24C24×C1111yescharacteristic
1117C24C24×C1111yescharacteristic
1118C24C24×C1111yescharacteristic
1119C24C24×C1111yescharacteristic
1120C2×Q8—22no—
1121C2×Q8—22no—
1122C2×Q8—41no—
1123C2×Q8—41no—
1124C2×Q8—41no—
1125C2×Q8—41no—
1126C2×Q8—41no—
1127C2×Q8—41no—
1128C2×Q8—41no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—416no—
1171C22×C4C11×#4114yes—
1172C22×C4C24×C1111yescharacteristic
1173C22×C4C24×C1111yescharacteristic
1174C22×C4C24×C1111yescharacteristic
1175C22×C4C24×C1111yescharacteristic
1176C22×C4C24×C1111yescharacteristic
1177C22×C4C24×C1111yescharacteristic
1178C22×C4C24×C1111yescharacteristic
1179C22×C4C24×C1111yescharacteristic
1180C22×C4C24×C1111yescharacteristic
1181C22×C4C24×C1111yescharacteristic
1182C22×C4C24×C1111yescharacteristic
1183C22×C4C24×C1111yescharacteristic
1184C22×C4C24×C1111yescharacteristic
1185C22×C4C24×C1111yescharacteristic
1186C22×C4C24×C1111yescharacteristic
1187C22×C4C24×C1111yescharacteristic
1188C22×C4C24×C1111yescharacteristic
1189C22×C4C24×C1111yescharacteristic
1190C22×C4C24×C1111yescharacteristic
1191C22×C4C24×C1111yescharacteristic
1192C22×C4C24×C1111yescharacteristic
1193C22×C4C24×C1111yescharacteristic
1194C22×C4C24×C1111yescharacteristic
1195C22×C4C24×C1111yescharacteristic
1196C22×C4C24×C1111yescharacteristic
1197C22×C4C24×C1111yescharacteristic
1198C22×C4C24×C1111yescharacteristic
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—22no—
1202C4⋊C4—22no—
1203C4⋊C4—22no—
1204C4⋊C4—22no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C42—22no—
1278C42—41no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
1282C42—41no—
1283C42—41no—
1284C11#3677811yescharacteristic, direct product factor, Sylow
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—28no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—44no—
1310C23—44no—
1311C23—44no—
1312C23—44no—
1313C23—44no—
1314C23—44no—
1315C23C2×C11×#4112yes—
1316C23C11×H(5,𝔽2)12yes—
1317C23C11×H(5,𝔽2)12yes—
1318C23C11×2−1+412yes—
1319C23C11×2−1+412yes—
1320C23C25×C1111yescharacteristic
1321Q8—82no—
1322Q8—82no—
1323Q8—82no—
1324D4—44no—
1325D4—82no—
1326D4—82no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—82no—
1414C2×C4—82no—
1415C2×C4—82no—
1416C2×C4C2×C11×#4112yes—
1417C2×C4C2×C11×#4112yes—
1418C2×C4C11×H(5,𝔽2)12yes—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—416no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22C11×#54214yes—
1448C22C22×C11×#4111yescharacteristic
1449C22C2×C11×H(5,𝔽2)11yescharacteristic
1450C22C2×C11×H(5,𝔽2)11yescharacteristic
1451C22C2×C11×H(5,𝔽2)11yescharacteristic
1452C22C2×C11×2−1+411yescharacteristic
1453C22C2×C11×2−1+411yescharacteristic
1454C22C11×#58511yescharacteristic
1455C4—22no—
1456C4—22no—
1457C4—22no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C2—24no—
1483C2—42no—
1484C2—42no—
1485C2—81no—
1486C2C2×C11×#54211yescharacteristic
1487C2C11×#349211yescharacteristic
1488C2C11×#350511yescharacteristic
1489C2C11×#353211yescharacteristic
1490C2C11×#353511yescharacteristic
1491C2C11×#353511yescharacteristic
1492C2C11×#353811yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutator, Frattini, cosocleC23C25×C11
prime radicalC2×C11×#120C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C11×#2848C2semidirect
3. C11×#2790C2semidirect
4. C11×#2779C2semidirect
5. C11×#2770C2semidirect
6. C11×#2765C2semidirect
7. C11×#2764C2semidirect
8. C11×#2763C2semidirect
9. C11×#2757C2semidirect
10. C11×#2746C2semidirect
11. C11×#2739C2semidirect
12. C11×#2729C2semidirect
13. C11×#2718C2semidirect
14. C11×#2717C2semidirect
15. C11×#2698C2semidirect
16. C11×#2692C2semidirect
17. C11×#2687C2semidirect
18. C11×#2674C2semidirect
19. C11×#2627C2semidirect
20. C11×#2623C2semidirect
21. C11×#2561C2semidirect
23. C11×#2493C2semidirect
24. C11×#2488C2semidirect
25. C11×#2480C2semidirect
27. C11×#2440C2semidirect
28. C11×#2417C2semidirect
29. C11×#2329C2semidirect
30. C11×#2318C2semidirect
31. C2×C11×#385C2semidirect
33. C2×C11×C4⋊Q8C22semidirect
44. C2×C11×C22⋊Q8C22semidirect
51. C11×#401C22semidirect
52. C11×#400C22semidirect
53. C11×#400C22semidirect
54. C11×#400C22semidirect
55. C11×#400C22semidirect
56. C11×#400C22semidirect
57. C11×#400C22semidirect
58. C11×#400C22semidirect
59. C11×#400C22semidirect
60. C11×#400C22semidirect
61. C11×#399C22semidirect
62. C11×#399C22semidirect
63. C11×#398C22semidirect
64. C11×#398C22semidirect
65. C11×#398C22semidirect
66. C11×#398C22semidirect
67. C11×#398C22semidirect
68. C11×#398C22semidirect
69. C11×#398C22semidirect
70. C11×#398C22semidirect
71. C11×#398C22semidirect
72. C11×#398C22semidirect
79. C11×#397C22semidirect
80. C11×#397C22semidirect
81. C11×#397C22semidirect
85. C11×#396C22semidirect
86. C11×#396C22semidirect
87. C11×#395C22semidirect
88. C11×#395C22semidirect
89. C11×#395C22semidirect
90. C11×#395C22semidirect
98. C11×#393C22semidirect
99. C11×#391C22semidirect
100. C11×#391C22semidirect
101. C11×#391C22semidirect
102. C11×#391C22semidirect
104. C11×#389C22semidirect
105. C11×#389C22semidirect
106. C11×#389C22semidirect
107. C11×#389C22semidirect
108. C11×#389C22semidirect
120. C11×#388C22semidirect
121. C11×#388C22semidirect
122. C11×#388C22semidirect
123. C11×#388C22semidirect
124. C11×#387C22semidirect
125. C11×#387C22semidirect
126. C11×#387C22semidirect
127. C11×#387C22semidirect
128. C11×#387C22semidirect
129. C11×#387C22semidirect
130. C11×#387C22semidirect
131. C11×#387C22semidirect
132. C11×#387C22semidirect
161. C11×#384C22semidirect
162. C11×#383C22semidirect
163. C11×#383C22semidirect
164. C11×#382C22semidirect
165. C11×#382C22semidirect
171. C11×#381C22semidirect
177. C11×#380C22semidirect
178. C11×#380C22semidirect
363. #36778C11direct (N × H)
540. #2848C2×C11semidirect
541. #2790C2×C11semidirect
542. #2779C2×C11semidirect
543. #2770C2×C11semidirect
544. #2765C2×C11semidirect
545. #2764C2×C11semidirect
546. #2763C2×C11semidirect
547. #2757C2×C11semidirect
548. #2746C2×C11semidirect
549. #2739C2×C11semidirect
550. #2729C2×C11semidirect
551. #2718C2×C11semidirect
552. #2717C2×C11semidirect
553. #2698C2×C11semidirect
554. #2692C2×C11semidirect
555. #2687C2×C11semidirect
556. #2674C2×C11semidirect
557. #2627C2×C11semidirect
558. #2623C2×C11semidirect
559. #2561C2×C11semidirect
561. #2493C2×C11semidirect
562. #2488C2×C11semidirect
563. #2480C2×C11semidirect
565. #2440C2×C11semidirect
566. #2417C2×C11semidirect
567. #2329C2×C11semidirect
568. #2318C2×C11semidirect
569. C2×#385C2×C11semidirect
705. C2×C4⋊Q8C22×C11semidirect
716. C2×C22⋊Q8C22×C11semidirect
723. #401C22×C11semidirect
724. #400C22×C11semidirect
725. #400C22×C11semidirect
726. #400C22×C11semidirect
727. #400C22×C11semidirect
728. #400C22×C11semidirect
729. #400C22×C11semidirect
730. #400C22×C11semidirect
731. #400C22×C11semidirect
732. #400C22×C11semidirect
733. #399C22×C11semidirect
734. #399C22×C11semidirect
735. #398C22×C11semidirect
736. #398C22×C11semidirect
737. #398C22×C11semidirect
738. #398C22×C11semidirect
739. #398C22×C11semidirect
740. #398C22×C11semidirect
741. #398C22×C11semidirect
742. #398C22×C11semidirect
743. #398C22×C11semidirect
744. #398C22×C11semidirect
751. #397C22×C11semidirect
752. #397C22×C11semidirect
753. #397C22×C11semidirect
757. #396C22×C11semidirect
758. #396C22×C11semidirect
759. #395C22×C11semidirect
760. #395C22×C11semidirect
761. #395C22×C11semidirect
762. #395C22×C11semidirect
770. #393C22×C11semidirect
771. #391C22×C11semidirect
772. #391C22×C11semidirect
773. #391C22×C11semidirect
774. #391C22×C11semidirect
776. #389C22×C11semidirect
777. #389C22×C11semidirect
778. #389C22×C11semidirect
779. #389C22×C11semidirect
780. #389C22×C11semidirect
792. #388C22×C11semidirect
793. #388C22×C11semidirect
794. #388C22×C11semidirect
795. #388C22×C11semidirect
796. #387C22×C11semidirect
797. #387C22×C11semidirect
798. #387C22×C11semidirect
799. #387C22×C11semidirect
800. #387C22×C11semidirect
801. #387C22×C11semidirect
802. #387C22×C11semidirect
803. #387C22×C11semidirect
804. #387C22×C11semidirect
833. #384C22×C11semidirect
834. #383C22×C11semidirect
835. #383C22×C11semidirect
836. #382C22×C11semidirect
837. #382C22×C11semidirect
843. #381C22×C11semidirect
849. #380C22×C11semidirect
850. #380C22×C11semidirect
1284. C11#36778direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C11×#28492
C11×#28482
C11×#27902
C11×#27792
C11×#27702
C11×#27652
C11×#27642
C11×#27632
C11×#27572
C11×#27462
C11×#27392
C11×#27292
C11×#27182
C11×#27172
C11×#26982
C11×#26922
C11×#26872
C11×#26742
C11×#26272
C11×#26232
C11×#25612
C11×#25342
C11×#24932
C11×#24882
C11×#24802
C11×#24722
C11×#24402
C11×#24172
C11×#23292
C11×#23182
C2×C11×#3852
#3677811